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a(n) = Sum_{k=0..n} (k+1) * A026725(n, n-k).
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%I #12 Oct 25 2019 16:52:43

%S 1,3,8,23,55,144,328,816,1808,4358,9485,22377,48097,111720,237917,

%T 546161,1154827,2626624,5522464,12467540,26092324,58546544,122059348,

%U 272479782,566242186,1258568324,2608232758,5775620396,11940756076

%N a(n) = Sum_{k=0..n} (k+1) * A026725(n, n-k).

%p A027212 := proc(n)

%p add( (k+1)*A026725(n,n-k),k=0..n) ;

%p end proc: # _R. J. Mathar_, Oct 21 2019

%K nonn

%O 0,2

%A _Clark Kimberling_

%E Name corrected by _R. J. Mathar_, Oct 21 2019